A class of solutions of the two-dimensional Toda lattice equation

V. N. Duarte

doi:10.1016/j.physleta.2020.126979

A class of solutions of the two-dimensional Toda lattice equation

V. N. Duarte

PPPL Theory

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

A method is proposed to systematically generate solutions of the two-dimensional Toda lattice equation in terms of previously known solutions ϕ(x,y) of the two-dimensional Laplace's equation. The solitonic solution of Nakamura's [J. Phys. Soc. Jpn. 52 (1983) 380] is shown to correspond to one particular choice of ϕ(x,y).

Original language	English (US)
Article number	126979
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	385
DOIs	https://doi.org/10.1016/j.physleta.2020.126979
State	Published - Jan 7 2021

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Keywords

Dispersive nonlinear partial differential equations
Solitons
Toda lattice

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10.1016/j.physleta.2020.126979

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abstract = "A method is proposed to systematically generate solutions of the two-dimensional Toda lattice equation in terms of previously known solutions ϕ(x,y) of the two-dimensional Laplace's equation. The solitonic solution of Nakamura's [J. Phys. Soc. Jpn. 52 (1983) 380] is shown to correspond to one particular choice of ϕ(x,y).",

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AB - A method is proposed to systematically generate solutions of the two-dimensional Toda lattice equation in terms of previously known solutions ϕ(x,y) of the two-dimensional Laplace's equation. The solitonic solution of Nakamura's [J. Phys. Soc. Jpn. 52 (1983) 380] is shown to correspond to one particular choice of ϕ(x,y).

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KW - Solitons

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

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A class of solutions of the two-dimensional Toda lattice equation

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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